First, you much find out how many houses are deliverd in 1 hour.
130/2.5=52
So 52 houses are delivered in 1 hour. Now, divide that by 312.
312/52=6
It would take 6 hours to deliver 312 houses.
Answer:
34 cm
Step-by-step explanation:
The actual question is How many inches of ribbon Peter will need to make the "X".
Using the Pythagorean theorem, the length of the diagonal of a square with 12 cm sides is:
Since the "X" requires two diagonals, the length of ribbon required is:
The length required, rounded to the nearest centimeter, is 34 cm.
Answer:
143
Step-by-step explanation:
lets make a fraction:
so
91 oil changes/7days
lets take "x" as the unknown # of oil changes:
so
x/11
91/7=x/11
we can cross multiply:
91*11=7*x
1001=7x
143=x
so 143 oil changes in 11 days
Hope this helps!
If your question is to write it in scientific notation, it's 10^4 and the exponent is 4
Answer:
Step-by-step explanation:
A right angle triangle is formed.
The length of the guy wire represents the hypotenuse of the right angle triangle.
The height of the antenna represents the opposite side of the right angle triangle.
The distance, h from base of the antenna to the point on the ground to which the antenna is attached represents the adjacent side of the triangle.
To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
41² = 32.8² + h²
1681 = 1075.84 + h²
h² = 1681 - 1075.84 = 605.16
h = √605.16
h = 24.6 m
To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos θ = 24.6/41 = 0.6
θ = Cos^-1(0.6)
θ = 53.1°
